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1. Select a law from the right to apply Laws Distributive (anb)v(a^c) = an(bvc) (avb)^(avc) = av(b^c) Commutative avb E bva anb E ba Complement av-a anna Identity алт avf Double negation a III II III III

1. Select a law from the right to apply Laws Distributive (anb)v(a^c) = an(bvc) (avb)^(avc) = av(b^c) Commutative avb E bva anb E ba Complement av-a anna Identity алт avf Double negation a III II III III

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Reduce the proposition using laws.

Simplify ¬¬q∧T to q

 

 

**Instructions:** 1. Select a law from the right to apply to the expression: ¬¬q ∧ T **Laws:** - **Distributive:** - (a ∧ b) ∨ (a ∧ c) ≡ a ∧ (b ∨ c) - (a ∨ b) ∧ (a ∨ c) ≡ a ∨ (b ∧ c) - **Commutative:** - a ∨ b ≡ b ∨ a - a ∧ b ≡ b ∧ a - **Complement:** - a ∨ ¬a ≡ T - a ∧ ¬a ≡ F - **Identity:** - a ∧ T ≡ a - a ∨ F ≡ a - **Double negation:** - ¬¬a ≡ a
Transcribed Image Text:**Instructions:** 1. Select a law from the right to apply to the expression: ¬¬q ∧ T **Laws:** - **Distributive:** - (a ∧ b) ∨ (a ∧ c) ≡ a ∧ (b ∨ c) - (a ∨ b) ∧ (a ∨ c) ≡ a ∨ (b ∧ c) - **Commutative:** - a ∨ b ≡ b ∨ a - a ∧ b ≡ b ∧ a - **Complement:** - a ∨ ¬a ≡ T - a ∧ ¬a ≡ F - **Identity:** - a ∧ T ≡ a - a ∨ F ≡ a - **Double negation:** - ¬¬a ≡ a
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